1, define fractional division.
Decimal division refers to the operation process of dividing one decimal (dividend) by another decimal (divisor) to find the quotient. Decimal division is one of the basic operations in mathematical operations, which is used to calculate the ratio between two decimals.
2. Preparation: Align decimal points
Make sure that the decimal points of dividend and divisor are aligned before decimal division. If the decimal places of two decimals are different, you can align the decimal points by adding zeros after the shorter decimals.
3. Convert decimals into integers
For the convenience of calculation, fractional division can be converted into integer division. The method is to shift the decimal points of dividend and divisor to the right by the same number of digits, so that both decimal places become integers.
4. Carry out integer division operation.
Divide the converted dividend by the converted divisor, perform integer division operation, and find the quotient and remainder. This step is similar to ordinary integer division.
5. Convert to decimal form
According to the result of integer division, the quotient is converted into decimal form. Write the integer part of the quotient on the left of the decimal point, and the integer part of the remainder as the decimal part.
Extended knowledge: cyclic decimals
In fractional division, some divisors are infinite acyclic decimals, such as 1 divided by 3( 1/3=0.3333 ...), while others are cyclic decimals, such as 1 divided by 7 (17 = 0./kloc-0). For cyclic decimals, you can use a specific notation, such as the above example can be recorded as 0.3? And 0. 142857? Wait a minute.
Summary: Decimal division can be calculated by converting decimals into integers, performing integer division operations, and finally converting the results into decimals.
In fractional division, it is necessary to align decimal points, convert decimals into integers, perform integer division operations, and finally convert the results into decimal forms. Some divisions may produce infinite acyclic decimals or cyclic decimals, which can be expressed by a specific notation. Fractional division is widely used in real life and mathematics, which can help us to calculate and compare accurately.